基于子空间多核学习的企业财务困境预测方法

财务指标的异构性是影响企业财务困境预测精度的重要因素,现有多核学习方法能够用于解决异构数据学习问题。本文首先介绍了子空间多核学习财务困境预测理论框架,在此基础上根据子空间学习的最大化方差准则、类别可分性最大化准则、非线性子空间映射原理,提出了三种子空间多核学习方法,分别为最大化方差投影子空间多核学习、类别可分性最大化子空间多核学习、非线性子空间多核学习。利用采集的我国上市公司数据进行实验,对比所提出的方法同现有代表性财务困境预测方法,并对实验结果进行分析。实验结果表明,本文提出的子空间多核学习财务困境预测框架行之有效,该框架下所构造的子空间多核学习预测方法能够有效地提升财务困境预测精度。     

微信社群互动行为对用户理财产品投资组合风险决策的影响

微信社群如何影响用户理财产品购买决策是当下金融产品营销的一个重要理论问题。本研究依据效价理论提出感知风险、感知收益与用户理财产品的投资组合风险决策的关系模型,并将用户的微信社群互动纳入模型。基于287个用户问卷数据,129个微信社群的互动行为数据,以及用户理财产品实际购买行为的数据分析,发现用户购买理财产品的投资组合风险决策受到其感知风险与感知收益的影响,而且微信社群的互动频率负向影响用户感知风险与用户投资组合风险决策之间的负向关系、微信社群的消极情绪会加强感知风险对用户投资组合风险决策的负向影响并削弱感知利益对于用户投资组合风险决策的正向影响。本研究扩展了有关用户理财产品决策影响因素的分析视角,并对理财产品的用户管理有借鉴价值。     

纳入政策预期的国际气候博弈

本研究首先对Baumol和Oates构建的公共外部性模型的假设条件进行修正,从而构建起更符合实际的国际气候治理的数理模型;求解该数理模型,本研究推导出同时实现全球帕累托最优和自身财政收支平衡下,国际环境协议必须遵循的唯一政策规则;最后,以此为基础,本研究进一步构建起纳入政策预期的国际气候博弈模型,并通过数理分析论证,揭示了:如果世界各国都只考虑自身利益最大化,纳入政策预期下的气候博弈的均衡结果,将无法实现全球气候治理的帕累托最优。     

基于Cox模型研究财务困境的行业差异性

公司所属行业是陷入财务困境的一个重要的影响因素,本文主要运用Cox模型衡量不同行业的财务困境风险关系。我们以我国A股制造业上市公司为研究对象,选取制造业中样本量最大的两个次级行业:机械、设备、仪表行业以及石油、化学、塑料行业,以"月"作为生存时间基本单位,选取8个财务指标和一个行业虚拟变量进行实证研究。实证结果表明机械、设备、仪表行业陷入财务困境的风险为石油、化学、塑料行业的0.469倍,并且显著影响这两个行业的公司陷入财务困境的财务指标也不相同,表明研究财务困境考虑行业的重要性;稳健性检验表明这些结论具有可靠性。     

Asymptotics of multivariate conditional risk measures for Gaussian risks

This paper investigates accurate approximations of marginal moment excess, marginal conditional tail moment and marginal moment shortfall for multivariate Gaussian system risks. Based on the dimension reduction property via the quadratic programming problem, the super-exponential and polynomial convergence speeds are specified. Two interesting questions involved in risk management are well addressed, namely the minimal additional risk capital injection to avoid infinite risk contagion and a sufficient and necessary condition to alternate the convergence speeds. Numerical study and typical examples are given to illustrate the efficiency of our findings. Due to the flexible moment order, additional applications may involve in risk management, including tail mean–variance portfolio and multivariate conditional risk measures of tail covariance, tail skewness with dependence and extremal risk contagion under consideration.     

因子分析在股票评价中的应用

本文运用SAS软件,对沪市604家上市公司2001年财务报表中的十个主要财务指标进行了因子分析,并将这十个指标归结为三个因子,每个因子都有特定的含义。最后,根据每个股票的三个因子得分情况对该股票作出综合评价。     

上市公司财务危机预警的Logistic回归分析

以我国沪市A股上市公司为研究对象,选取了2004年和2005年的ST公司和正常的公司各40家作为分析样本,另外各20家作为检验样本.首先选取了9个财务指标进行因子分析,然后在此基础上根据所得到的因子得分对样本进行Logistic回归分析,结果发现该方法回归和预测的效果都较好,可以为投资者、债权人和监管机构等提供判别依据.     

Projected Dynamical Systems and Evolutionary Variational Inequalities via Hilbert Spaces with Applications<Superscript>1</Superscript>

In this paper, we make explicit the connection between projected dynamical systems on Hilbert spaces and evolutionary variational inequalities. We give a novel formulation that unifies the underlying constraint sets for such inequalities, which arise in time-dependent traffic network, spatial price equilibrium, and a variety of financial equilibrium problems. We emphasize the importance of the results in applications and provide a traffic network numerical example in which we compute the curve of equilibria. ¹This research was funded by the Rockefeller Foundation, Bellagio Center Program. The first author was also supported by NSERC Discovery Grant 045997 and the third author by NSF Grant IIS-0002647. The authors thank Professors George Isac, Antonino Maugeri, and Panos Pardalos for support and inspiration; they are indebted to Professor Antonino Maugeri for assistance throughout their residency at Bellagio, Italy in March 2004.     

Portfolio optimization with short-selling and spin-glass

In this paper, we solve a general problem of optimizing a portfolio in a futures markets framework, extending the previous work of Galluccio et al. [Physica A 259, 449 (1998)]. We allow for long buying/short selling of a relatively large number of assets, assuming a fixed level of margin requirement. Because of non-linearity in the constraint, we derive a multiple equilibrium solution, in a size exponential respect to the number of assets. That means that we can not obtain the unique efficiency frontier, but many of them and each one is related to different levels of risk. Such a problem is analogous to that of finding the ground state in long-ranged Ising spin glass with external field. In order to get the best portfolio (i.e. that is along the best efficiency frontier), we have to implement a two-step procedure, performing the exhaustive enumeration of all local minima. We develop a concrete application, where the different part of the proposed solution are computed. Received 31 December 2001